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The heat produced in a wire carrying an ...

The heat produced in a wire carrying an electric current depends on the current, the resistance and the time. Assuming that the dependuance is of the product of powers type, guress an eqn. between these quantites uning dimesional analysis. The dimensional formula of resistance is `ML^2 A^(-2) T^(-3)` and heat is a form of energy.

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To solve the problem, we need to establish a relationship between the heat produced in a wire carrying an electric current, the current itself, the resistance of the wire, and the time for which the current flows. We will use dimensional analysis to derive this relationship. ### Step-by-Step Solution: 1. **Identify the Variables**: - Let \( H \) be the heat produced. - Let \( I \) be the current. - Let \( R \) be the resistance. ...
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